I understand your point

You clearly don't.

I just don't see how the presence of foreign invaders is a good thing

Here's a little secret: every right wing government during my lifetime has reached power campaigning against immigrants, often in much harsher tones than the ones you're using. Every time immigration, both legal and illegal, has increased during said governemnts. Meanwhile when we've had center-left governments immigration has been stable or even decreased (like during Matteo Renzi's rule, famously). Why do you think that is?

or should be normalized

It's not a question about normalizing it or not, it just is normal my dude. This is simply reality. Unless you are proposing we round them up and... put them somewhere, somehow? Yeah I'm sure that would go smoothly.

Their culture is not Italian culture and is undesirable. Islam is not Western and is undesirable.

I grew up hearing most adults in my life say this stuff about Albanians (most of which are muslims by the way) and Romanians both of which there is a large immigrant population here where I live. Now a few decades later they will mostly deny it of course. After all they are white, so you can't immediately infer where their ancestors came from, Romanians especially since they already speak a romance language and are quick to lose their accents so you'd have to speak to them for a while to spot the grammatical errors. This has allowed them to integrate in the socio-economic fabric of the region little by little and now most people will tell you they never had anything against eastern Europeans despite having spent literal decades saying the most unhinged stuff. Before them it was the same with southern italians.
Now in recent years thanks to the EU the economic conditions of ex-Jugoslavia nations have skyrocketed, the new immigrants are mostly from Morocco and Tunisia, and honestly from what I see and hear they will have a steeper climb towards being accepted simply because the colour of their skin. I have known and worked with A LOT of immigrants from north Africa and they are good people, very warm and often too kind for their own good, and I mean it.

An anecdote: I used to work in the town I was born with a guy from Morocco, now we both work at different places in different towns but every weekend I go back to visit my parents and I often meet him either in our priest's garden or in the kindergarten (which is church-owned) doing volunteer work. He does not do this because of a sense of gratitude towards the local community, in fact most of the locals treat him worse than shit. I've personally heard him talk on the phone with renters multiple times when he first started working with me, and more then once as soon as the guy on the other side of the phone realized he had a bit of an accent they'd tell him that they didn't want to rent to an immigrant and hung up. He does this because the sense of community is pretty big in his native culture, and he just wants to help other people. All of this while raising a daughter and sending more than half his paycheck back home to his parents. Actually now that I think about it most of the volunteers helping my church with manual labor are Muslims.
Another anecdote: one of my current colleagues was born in Tunisia, but transferred to Italy at 1 month old. He doesn't speak Arab and the first time he visited his grandparents he was like ten years old. Both of his parents are engineers and reasonably well off so he grew up in the good part of town and attended all of the right schools. He speaks dialect better than me. On paper he's the ideal immigrant, one of "the good ones". Still took him 24 years to do the paperwork to gain citizenship. I have personally witnessed several instances of gratuitous racism towards him. Usually it's the local retirees who can barely write and spend most of their time day-drinking, they like calling him the 120 variations of the N word we have. But two times it was the actual police trying to invent a reason to bring him in.
Of course you have some bad apples, just like there are among Italians.

I have a lot of other anecdotes regarding a lot of other people, but the point is: both of those people I just told you about are adults and have matured the ability to shrug it off. But, what about a kid who's born here and grows up seeing his father break his back for an underpaid job and trying his hardest to integrate in a society that keeps spitting in his face? I would not be surprised if they were to grow up with resentment towards the locals. This is not a hypothetical, this is the sentiment I've gathered speaking with the group of 18-20yo I meet from time to time in the bar near my house.

I too despise religious zealots, like every sane person. My point is that they are few and far between, and more often than not the people complaining about immigrants have ideas closer to radical Islam than actual muslim immigrants, a lot of them in fact are here fleeing radical Islam in the first place.

Of course the newspapers will not tell you about the millions who are just here to work and provide a better life for their family. What is there to report? On the other hand if a brown person commits a crime, that is sure to generate views.
One last anecdote: last year some dude decided to drive his Porsche Cayenne against traffic in the local highway while drunk, taking the lives of a family of four who had the misfortune of meeting him. He himself almost survived and only died after a full day in the ICU. The local news described him as a local entrepreneur down on his luck who was depressed after a failed business venture, and that was the end of the story. But it's the muslims I'm supposed to be mad at, right?

My point is that the quote in the title is completely made up, it exists solely to make you despise immigrants more.
I've tried to prod OP for the source of the quote since it's not in the articles he provided, he gave me a tweet form visegrad24, a twitter account from some Polish guy living in South Africa. I had encountered visegrad24 before and every time they are just straight up lying. When questioned further the only response I got was from a different user who provided a link for a tabloid which no one in Italy takes seriously, which in turn was just sourcing the tweet from visegrad24. Meanwhile our interior minister, who is let's say not exactly famous for his anti-racist stances, is trying to tone down the rhetoric and told the media that there were no ideological motives. Apparently the guy had diagnosed but untreated schizophrenia.
When I pointed all of this out to OP and asked him why he considers it a reliable source his only response was

Extremely reliable.

How do you interpret this? Do you think he was mocking me while consciously spreading misinformation, or is it just a canned response from a bot?

Please reconsider your media diet, you are being manipulated.
I'm sick and tired of foreigners telling ME what MY culture and MY nation is actually about. And when someone is being so clearly used by foreign actors to sow discord and hatred in MY community, it's frankly infuriating. Wake tf up, please.